8136
8136 is a even composite number that follows 8135 and precedes 8137. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136. Its prime factorization can be written as 2^3 × 3^2 × 113. 8136 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8136 is represented as 1111111001000 in binary and 1FC8 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 3^2 × 113) reveals 6 prime building blocks.
Divisible by 2
8136 ends in 6, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
8136 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
8136 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 8136 within several notable number theory sequences:
Timeline
Deep dive
How 8136 breaks down
8136 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 14094, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111111001000 supports bitwise reasoning, hexadecimal 1FC8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8136 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8136 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8131–8141) to tune search ranges, and educators feature 8136 in worksheets about factor trees. Its binary footprint of length 13 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 8136 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 8136
Is 8136 a prime number?
8136 is composite with 24 total factors and the prime factorization 2^3 × 3^2 × 113.
What is the prime factorization of 8136?
It breaks down as 2^3 × 3^2 × 113, multiplying the primes 2 × 2 × 2 × 3 × 3 × 113.
How is 8136 represented in binary and hexadecimal?
8136 converts to 1111111001000 in binary and 1FC8 in hexadecimal, which are helpful for computer science applications.
Is 8136 a perfect square, cube, or triangular number?
8136 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8136?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.